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Finding the Fourth Proportional to 465.80, 695.30 and 400.40

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Solution

The fourth proportional to 465.80, 695.30 and 400.40 is: 597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 695.30 = 400.40 : x
  2. Step 2: Convert to fraction form
    465.80/695.30 = 400.40/x
  3. Step 3: Cross multiply
    465.80x = 695.30 × 400.40
  4. Step 4: Simplify right side
    465.80x = 278,398.12
  5. Step 5: Solve for x
    x = 278,398.12/465.80
  6. Step 6: Final answer
    x = 597.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.